Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bn |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-3.2487257398289E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4552590,3838083221] |
[a1,a2,a3,a4,a6] |
Generators |
[4354:257985:1] |
Generators of the group modulo torsion |
j |
-7604375980288000/236743082667 |
j-invariant |
L |
6.3961458734528 |
L(r)(E,1)/r! |
Ω |
0.17076216797815 |
Real period |
R |
2.3410285886177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728bh1 15288e1 6552t1 |
Quadratic twists by: -4 -3 -7 |